{"id":"https://openalex.org/W2766617160","doi":"https://doi.org/10.1109/nds.2017.8070635","title":"Discrete Roesser state models from 2D vector-geometric trajectories","display_name":"Discrete Roesser state models from 2D vector-geometric trajectories","publication_year":2017,"publication_date":"2017-09-01","ids":{"openalex":"https://openalex.org/W2766617160","doi":"https://doi.org/10.1109/nds.2017.8070635","mag":"2766617160"},"language":"en","primary_location":{"id":"doi:10.1109/nds.2017.8070635","is_oa":false,"landing_page_url":"https://doi.org/10.1109/nds.2017.8070635","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 10th International Workshop on Multidimensional (nD) Systems (nDS)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089562946","display_name":"Paolo Rapisarda","orcid":"https://orcid.org/0000-0001-9682-8977"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"P. Rapisarda","raw_affiliation_strings":["Vision, Learning and Control Group, University of Southampton, Southampton, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vision, Learning and Control Group, University of Southampton, Southampton, UK","institution_ids":["https://openalex.org/I43439940"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081788754","display_name":"Eric Rogers","orcid":"https://orcid.org/0000-0003-0179-9398"},"institutions":[{"id":"https://openalex.org/I43439940","display_name":"University of Southampton","ror":"https://ror.org/01ryk1543","country_code":"GB","type":"education","lineage":["https://openalex.org/I43439940"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Eric Rogers","raw_affiliation_strings":["Vision, Learning and Control Group, University of Southampton, Southampton, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Vision, Learning and Control Group, University of Southampton, Southampton, UK","institution_ids":["https://openalex.org/I43439940"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17251498,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.6683872938156128},{"id":"https://openalex.org/keywords/state-vector","display_name":"State vector","score":0.6495580077171326},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5982927083969116},{"id":"https://openalex.org/keywords/sampled-data-systems","display_name":"Sampled data systems","score":0.5793578624725342},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5602651238441467},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5557606220245361},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5108773112297058},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5070090293884277},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.4804072678089142},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4726918041706085},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.46831637620925903},{"id":"https://openalex.org/keywords/discrete-system","display_name":"Discrete system","score":0.4610319435596466},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.45188650488853455},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4452138841152191},{"id":"https://openalex.org/keywords/multidimensional-systems","display_name":"Multidimensional systems","score":0.41123440861701965},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3200572729110718},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3191502094268799},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24361643195152283},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16878697276115417},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15016457438468933},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.12141057848930359},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11306461691856384},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0890941321849823},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06582412123680115}],"concepts":[{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6683872938156128},{"id":"https://openalex.org/C2777798563","wikidata":"https://www.wikidata.org/wiki/Q7603916","display_name":"State vector","level":2,"score":0.6495580077171326},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5982927083969116},{"id":"https://openalex.org/C90794131","wikidata":"https://www.wikidata.org/wiki/Q7410146","display_name":"Sampled data systems","level":3,"score":0.5793578624725342},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5602651238441467},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5557606220245361},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5108773112297058},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5070090293884277},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.4804072678089142},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4726918041706085},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.46831637620925903},{"id":"https://openalex.org/C96314035","wikidata":"https://www.wikidata.org/wiki/Q5282062","display_name":"Discrete system","level":2,"score":0.4610319435596466},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.45188650488853455},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4452138841152191},{"id":"https://openalex.org/C158457486","wikidata":"https://www.wikidata.org/wiki/Q17104301","display_name":"Multidimensional systems","level":2,"score":0.41123440861701965},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3200572729110718},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3191502094268799},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24361643195152283},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16878697276115417},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15016457438468933},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.12141057848930359},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11306461691856384},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0890941321849823},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06582412123680115},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/nds.2017.8070635","is_oa":false,"landing_page_url":"https://doi.org/10.1109/nds.2017.8070635","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 10th International Workshop on Multidimensional (nD) Systems (nDS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W50046789","https://openalex.org/W175551091","https://openalex.org/W1975129762","https://openalex.org/W1978113682","https://openalex.org/W1990419876","https://openalex.org/W1995851630","https://openalex.org/W2050576042","https://openalex.org/W2061417005","https://openalex.org/W2065573423","https://openalex.org/W2066365975","https://openalex.org/W2113077057","https://openalex.org/W2145949881","https://openalex.org/W2157192413","https://openalex.org/W2161374719","https://openalex.org/W2162391722","https://openalex.org/W2168678875","https://openalex.org/W2173404643","https://openalex.org/W2221792085","https://openalex.org/W2476008363","https://openalex.org/W2528648134","https://openalex.org/W2736469020","https://openalex.org/W6607052802"],"related_works":["https://openalex.org/W1505859428","https://openalex.org/W2766617160","https://openalex.org/W3010896107","https://openalex.org/W2488429990","https://openalex.org/W2047226061","https://openalex.org/W2319241219","https://openalex.org/W228982162","https://openalex.org/W2064951101","https://openalex.org/W640115828","https://openalex.org/W4230269288"],"abstract_inverted_index":{"Given":[0],"2D":[1],"discrete":[2],"vector-geometric":[3],"trajectories":[4,24],"generated":[5],"by":[6],"a":[7,51],"controllable,":[8],"quarter-plane":[9],"causal":[10],"system,":[11],"we":[12],"identify":[13],"an":[14],"unfalsified":[15],"Roesser":[16,45],"model":[17,46],"for":[18],"it.":[19],"We":[20],"first":[21],"compute":[22],"state":[23,62],"from":[25,33],"the":[26,34,36,44,57,60],"factorization":[27],"of":[28,43,53],"constant":[29],"matrices":[30,42],"directly":[31],"constructed":[32],"data;":[35],"A,":[37],"B,":[38],"C":[39],"and":[40,59],"D":[41],"are":[47],"then":[48],"determined":[49],"solving":[50],"system":[52],"linear":[54],"equations":[55],"involving":[56],"data":[58],"computed":[61],"trajectories.":[63]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
